Numerical reasoning test tips and tricks, with worked examples

The short answer

A numerical reasoning test gives you tables and charts and asks questions you could answer with a calculator in a minute or two, but under a clock that gives you less. The people who do well are not better at maths; they recognise the calculation at once, take the right numbers from the data, and do not stall. Below are the five calculations to know cold, a method for each question, and the traps test writers use.

Want to try first? There are eight free numerical reasoning questions with answers on our test page, and a free 10-question, 5-minute test with an instant score.

The five calculations that come up again and again

Most questions are one of these, or two of them chained together (for example, apply a discount and then find the change from today's cost). Practise them until you can set them up without thinking.

A four-step method for every question

1. Read the question before the data. Know what you are looking for, then find only those numbers. Charts are often busier than the question needs.
2. Check units and labels. Thousands or millions? Per month or per year? Percent or percentage points? A large share of wrong answers come from reading the wrong row, year or unit.
3. Estimate first. Round the numbers and get a rough answer in your head. If the options are far apart, the estimate alone may be enough; if not, it tells you which options to ignore.
4. Calculate and compare with your estimate. If the two disagree, you have probably used the wrong base or the wrong number.

Trap answers to watch for

• The wrong base for a percentage change. A rise from 48 to 66 is 18 ÷ 48 = 37.5%, not 18 ÷ 66 = 27.3%. Always divide by the starting value. Both numbers will usually be among the options.
• Percent vs percentage points. A rate going from 10% to 12% is a rise of 2 percentage points, or 20%.
• Applying a change to the whole when only part changes. If one department grows 25%, add 25% of that department, not 25% of the total.
• The biggest number is not always the answer. When a question asks for the highest ratio or the fastest growth, work out each one; the largest raw value often loses.
• Discounts and fees. "10% off the per-user price" multiplies the price by 0.9 before you multiply by users.

A worked example

A 40-person team pays $9 per user per month for a project tool used by 25 people. It rolls the tool out to all 40 with a 10% discount on the per-user price. How much more does it pay per month?

• Estimate: about 40 × 8 = 320 against 25 × 9 = 225, so roughly 100 more.
• Calculate: 40 × 9 × 0.9 = $324; $324 − $225 = $99.
• Trap: $135 (40 × 9 − 225) forgets the discount.

This question and seven more are worked through on the numerical reasoning test page.

Reading charts quickly

For bar and line charts, read the axis scale before the bars: a scale that starts above zero makes small differences look large. For stacked bars, the segment values are what you need, not the height of the top of each segment. For pie charts, check whether the labels are percentages or values, and whether the total is given; if it is, a share is just total × percentage. If a value sits between gridlines, estimate it and look at whether the options are close enough for that to matter.

Pacing

Divide the time by the number of questions before you start, so you know your average. Our numerical reasoning practice test gives 15 minutes for 20 questions, which is 45 seconds each. Many questions share one table or chart, so the first question on a new data set takes longer and the next ones are quicker. If a question is still unclear after about twice your average, pick your best estimate, flag it and move on; come back if there is time.

A simple practice plan

1. Day 1: do the free worked questions untimed, and read every explanation, including for the ones you got right.
2. Day 2: take the free 10-question test against its 5-minute timer to get used to the clock.
3. Day 3 and after: take a full timed test, such as our 20-question numerical reasoning test or one of the other paid tests (verbal reasoning, cognitive ability or psychometric; see all aptitude tests), review the breakdown by question type, then practise the type you missed most.

Our tests are practice tools: the score is a count of correct answers, not an IQ score, and it does not predict job performance. Employer tests differ in format and length, so read any instructions you are sent.

If you are applying for finance or analyst roles

Numerical tests are common for finance, FP&A, analyst and operations roles, because the job itself is reading tables and explaining changes. The same habits help at work: percentage change against the right base, share of a total, and a sanity-check estimate. For examples from real finance work, see profit margin vs markup and the 13-week cash flow forecast explained. Looking for roles? Browse remote finance and accounting jobs and remote FP&A jobs.

FAQ

Further reading

Books we think are worth your time if you want to go deeper. We have not been paid to include any of them.

Sources

All links opened and checked on 30 Oct 2026. Figures are as published by each source on the date shown; we did not run our own benchmarks.

1. Remotely Scaled: numerical reasoning practice test, checked 30 Oct 2026
2. Remotely Scaled: free 10-question cognitive test, checked 30 Oct 2026
3. Remotely Scaled: aptitude and psychometric practice tests, checked 30 Oct 2026